The choices are missing, but we can find the right answer by using the given function
The inverse of is
Step-by-step explanation:
Let us revise the steps of finding the inverse of a function
- Write the function in the form of y = f(x)
- Switch x and y
- Solve to find the new y
∵
- Switch x and y
∴
- Subtract 1 fro both sides
∴
- Insert ㏒ in both sides
∴
- Remember
∵
∴
- Divide both sides by ㏒(2)
∴
- Divide both sides by 3
∴
- Switch the two sides
∴
The inverse of is
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Answer:
32°
Step-by-step explanation:
16 × 2 = 32
Keywords:
Bisected; means to divide into two parts.
Use one equation for the number of coins and another equation for the value of the coins.
Let d = number of dimes.
Let q = number of quarters.
Number of coins:
q = 3d
Value of the coins:
A dime is worth $0.1
A quarter is worth $0.25
0.1d + 0.25q = 19.55
Now solve the two equations as a system of equations.
q = 3d
0.1d + 0.25q = 19.55
Since the first equation is already solved for q, replace q with 3d in the second equation.
0.1d + 0.25(3d) = 19.55
0.1d + 0.75d = 19.55
0.85d = 19.55
d = 23
q = 3d = 3(23) = 69
There are 23 dimes and 69 quarters.
Check:
23 dimes are worth 23 * $0.1 = $2.30
69 quarters are worth 69 * $0.25 = $17.25
The total value is $2.30 + $17.25 = $19.55
Also 69 is 3 times 23, so the number of quarters is indeed three times the number of dimes.
Our answer is correct.
Answer:
it can hold 12 cubic feet
Step-by-step explanation:
just multiply 6 by 2 annd u get 12
Step-by-step explanation: